Journal article
Exact solution for semi-flexible partially directed walks at an adsorbing wall
Aleksander L Owczarek
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | IOP PUBLISHING LTD | Published : 2009
Abstract
Recently it was shown that the introduction of stiffness into the model of self-interacting partially directed walks modifies the polymer collapse transition seen from a second-order to a first-order one. Here we consider the effect of stiffness on the adsorption transition. We provide the exact generating function for non-interacting semi-flexible partially directed walks and analyse the solution in detail. We demonstrate that stiffness does not change the order of the adsorption transition, in contrast to its effect on collapse. © 2009 IOP Publishing Ltd.
Grants
Funding Acknowledgements
Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems is gratefully acknowledged by the author.